Pith Number

pith:YC2DEP4T

pith:2006:YC2DEP4TMMLKUIYUJ2NNGHWNMI

not attested not anchored not stored refs pending

Ellipses of Constant Entropy in the XY Spin Chain

A. R. Its, B.-Q. Jin, F. Franchini, V. E. Korepin

arxiv:quant-ph/0609098 v5 · 2006-09-13 · quant-ph · cond-mat.stat-mech · hep-th · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YC2DEP4TMMLKUIYUJ2NNGHWNMI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:03:32.876872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0b4323f936316aa23144e9ad31ecd623f56190c33531cc3012c44ae4837745d

Aliases

arxiv: quant-ph/0609098 · arxiv_version: quant-ph/0609098v5 · doi: 10.48550/arxiv.quant-ph/0609098 · pith_short_12: YC2DEP4TMMLK · pith_short_16: YC2DEP4TMMLKUIYU · pith_short_8: YC2DEP4T

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/YC2DEP4TMMLKUIYUJ2NNGHWNMI \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c0b4323f936316aa23144e9ad31ecd623f56190c33531cc3012c44ae4837745d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ebdb12edf9378472fd9bca1ef0d2ccc2aa7d7fd951bbc688851001f38ddc870",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-09-13T04:47:49Z",
    "title_canon_sha256": "65fc03e47878b2d38ad76e6838e04ee626e035aab3cf93f052ef4138b5e0a160"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0609098",
    "kind": "arxiv",
    "version": 5
  }
}